How long time until it hits the ground

[anthroxy]

Homework Statement

A boy on a roller coaster dropped his shoe after 0,10. How long time will it take until his shoe hits the ground. The roller coasters acceleration is 34,37m/s^2

Homework Equations

First i started looking at a = delta v / delta t

The Attempt at a Solution

I have really no idea where to begin, not sure if it was acceptable to post this but i'd appreciate a tip or something that could get me started.

 

[cashmoney805]

You can figure out how fast the boy/shoe is moving after 10s.

What is the only force acting on his shoe after he drops it?